The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications
Abstract This study introduces a novel statistical family known as the Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G (RB-HT-TIITL-G). The research explores key statistical properties, including hazard rate function, quantile function, moments, stochastic ordering, and order statistics. Furth...
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| Format: | Article |
| Language: | English |
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Springer
2025-03-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
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| Online Access: | https://doi.org/10.1007/s44199-025-00113-2 |
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| author | Gayan Warahena-Liyanage Broderick Oluyede Thatayaone Moakofi |
| author_facet | Gayan Warahena-Liyanage Broderick Oluyede Thatayaone Moakofi |
| author_sort | Gayan Warahena-Liyanage |
| collection | DOAJ |
| description | Abstract This study introduces a novel statistical family known as the Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G (RB-HT-TIITL-G). The research explores key statistical properties, including hazard rate function, quantile function, moments, stochastic ordering, and order statistics. Furthermore, essential risk measures such as value at risk, tail variance, and tail variance premium are derived. Several parameter estimation methods, including maximum likelihood, least squares, weighted least squares, maximum product spacing, Cramér-von Mises, and Anderson-Darling estimators, are applied. Monte Carlo simulations evaluate the consistency of these estimation techniques. Lastly, the model’s effectiveness is validated using real-world data, demonstrating its suitability for modeling diverse data sets. |
| format | Article |
| id | doaj-art-2901c94aaf8a49b18feb5f78c0e8eb1a |
| institution | DOAJ |
| issn | 2214-1766 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj-art-2901c94aaf8a49b18feb5f78c0e8eb1a2025-08-20T03:04:15ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662025-03-0124235439310.1007/s44199-025-00113-2The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with ApplicationsGayan Warahena-Liyanage0Broderick Oluyede1Thatayaone Moakofi2Mathematics, University of DaytonMathematics and Statistical Sciences, Botswana International University of Science and TechnologyMathematics and Statistical Sciences, Botswana International University of Science and TechnologyAbstract This study introduces a novel statistical family known as the Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G (RB-HT-TIITL-G). The research explores key statistical properties, including hazard rate function, quantile function, moments, stochastic ordering, and order statistics. Furthermore, essential risk measures such as value at risk, tail variance, and tail variance premium are derived. Several parameter estimation methods, including maximum likelihood, least squares, weighted least squares, maximum product spacing, Cramér-von Mises, and Anderson-Darling estimators, are applied. Monte Carlo simulations evaluate the consistency of these estimation techniques. Lastly, the model’s effectiveness is validated using real-world data, demonstrating its suitability for modeling diverse data sets.https://doi.org/10.1007/s44199-025-00113-2Gamma generatorHeavy-TailedTopp-Leone distributionEstimation methods |
| spellingShingle | Gayan Warahena-Liyanage Broderick Oluyede Thatayaone Moakofi The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications Journal of Statistical Theory and Applications (JSTA) Gamma generator Heavy-Tailed Topp-Leone distribution Estimation methods |
| title | The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications |
| title_full | The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications |
| title_fullStr | The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications |
| title_full_unstemmed | The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications |
| title_short | The New Ristić-Balakrishnan-Heavy-Tailed-Type II Topp-Leone-G Family of Distributions with Applications |
| title_sort | new ristic balakrishnan heavy tailed type ii topp leone g family of distributions with applications |
| topic | Gamma generator Heavy-Tailed Topp-Leone distribution Estimation methods |
| url | https://doi.org/10.1007/s44199-025-00113-2 |
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